How do you simplify #6sqrt20#?

1 Answer
Mar 29, 2018

Answer:

#6 sqrt(20)=12 sqrt(5)#

Explanation:

Given:

The radical expression #6 sqrt(20)# can be simplified.

Note that #color(blue)(sqrt(mn) = sqrt(m) * sqrt(n)#

Write #sqrt(20) = sqrt(4*5)#

And, #sqrt(4) = 2#

Hence,

#6sqrt(20)=6sqrt(4*5)#

#rArr 6*2*sqrt(5)#

#rArr 12 sqrt(5)#

Hence,

#6 sqrt(20)=12 sqrt(5)#.